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Let me change that a bit lot:

• Tools:

1. Diamond
2. Iron
3. Gold
4. Coal (Smelting)
5. Emerald, Lapis, Nether Quartz and Redstone

• Protection/Defence:

1. Gold (Golden apples)
2. Diamond
3. Iron
4. Redstone (Traps)
5. Coal (Smelting)
   
6. Emerald (Trading)
7. Lapis and Nether Quartz

• Xp: 

1. Diamond
   
2. Nether Quartz
3. Emerald
   
4. Lapis
5. Redstone
6. Gold
   
7. Iron
8. Coal

• Accessibility:

1. Coal
2. Iron
3. Redstone
4. Lapis
5. Gold
6. Nether Quartz (Down here due to it requiring the nether)
7. Diamond
8. Emerald

• Aesthetics: 

1. Nether Quartz
2. Lapis
3. Redstone
4. Emerald
5. Coal
6. Iron, Gold & Diamond

• Contraptions:

1. Redstone
2. Iron (Hoppers)
3. Nether Quartz
4. Emerald
5. Coal
6. Gold, Lapis & Diamond

So:

1. 10 pts
2. 8 pts
3. 6 pts
4. 4 pts
5. 3 pts
6. 2 pts
7. 1 pt
8. 0 pts

Result:

1. Diamond & Iron (33 pts)
2. ^
3. Redstone (32 pts)
4. Nether Quartz (30 pts)
5. Gold (25 pts)
6. Coal (24 pts)
7. Lapis (22 pts)
8. Emerald (19 pts)

Let me know if I missed stuff, miscounted the points or you disagree with something.